关于高阶整函数系数微分方程解的超级

研究两种类型的高阶线性齐次整函数系数微分方程解的增长性问题。对于这两种类型的方程，当存在某个系数对方程的解的性质起主要支配作用时，得到了方程解的超级的估计，特别是对零点收敛指数是有穷的解，得到了解的超级的精确估计。

ON THE HYPERORDER OF SOLUTIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS

In this paper, we investigate growth problem of solutions of two type of higher order homogeneous linear differential equations with entire coefficients. For the two type of equations, we obtain precise estimate of hyper-order of solutions of the equations when there is one coefficient that is main dominating to the properties of the solutions, particularly, we get precise estimate of hyper-order for the solution which satisfies that its exponent of convergence of zeros is finite.